1.1 Introduction to Whole Numbers1.2 Addition of Whole Numbers and Perimeter1.3 Subtraction of Whole Numbers1.4 Rounding and Estimating1.5 Multiplication of Whole Numbers and Area1.6 Division of Whole Numbers PRE: Operations on Whole Numbers1.7 Exponents, Square Roots, and the Order of Operations1.8 Problem Solving Strategies Group Activity: Becoming a Successful Student
2 Fractions and Mixed Numbers: Multiplication and Division
2.1 Introduction to Fractions and Mixed Numbers2.2 Prime Numbers and Factorizations2.3 Simplifying Fractions to Lowest Terms2.4 Multiplication of Fractions and Applications2.5 Division of Fractions and Applications PRE: Multiplication and Division of Fractions2.6 Multiplication and Division of Mixed Numbers Group Activity: Cooking for Company
3 Fractions and Mixed Numbers: Addition and Subtraction
3.1 Addition and Subtraction of Like Fractions3.2 Least Common Multiple3.3 Addition and Subtraction of Unlike Fractions3.4 Addition and Subtractions of Mixed Numbers PRE: Operations on Fractions and Mixed Numbers3.5 Order of Operations and Applications of Fractions and Mixed Numbers Group Activity: Card Games with Fractions
4 Decimals
4.1 Decimal Notation and Rounding4.2 Addition and Subtraction of Decimals4.3 Multiplication of Decimals4.4 Division of Decimals PRE: Operations on Decimals4.5 Fractions as Decimals4.6 Order of Operations and Applications of Decimals Group Activity: Purchasing from a Catalog
5 Ratio and Proportion
5.1 Ratios5.2 Rates and Unit Cost5.3 Proportions PRE: Operations on Fractions versus Solving Proportions5.4 Applications of Proportions and Similar Figures Group Activity: Investigating Probability
6 Percents
6.1 Percents and Their Fraction and Decimal Forms6.2 Fractions and Decimals and Their Percent Forms6.3 Percent Proportions and Applications6.4 Percent Equations and Applications PRE: Percents6.5 Applications Involving Sales Tax, Commission, Discount, and Markup6.6 Percent Increase and Decrease6.7 Simple and Compound Interest Group Activity: Credit Card Investment
7 Measurement
7.1 Converting US Customary Units of Length7.2 Converting US Customary Units of Time, Weight, and Capacity7.3 Metric Units of Length7.4 Metric Units of Mass and Capactiy and Medical Applications PRE: US Customary and Metric Conversions7.5 Converting Between US Customary and Metric Units Group Activity: Remodeling the Classroom
8 Geometry
8.1 Lines and Angles8.2 Triangles and the Pythagorean Theorem8.3 Quadrilaterals, Perimeter, and Area8.4 Circles, Circumference, and Area PRE: Area, Perimeter, and Circumference8.5 Volume Group Activity: Constructing a Golden Rectangle
9 Introduction to Statistics
9.1 Tables, Bar Graphs, Pictographs, and Lines Graphs9.2 Frequency Distributions and Histograms9.3 Circle Graphs9.4 Mean, Median, and Mode9.5 Introduction to Probability Group Activity: Creating a Statistical Report
10 Real Numbers
10.1 Real Numbers and the Real Number Line10.2 Addition of Real Numbers10.3 Subtraction of Real Numbers PRE: Addition and Subtraction of Real Numbers10.4 Multiplication and Division of Real Numbers PRE: Operations on Real Numbers10.5 Order of Operations Group Activity: Checking Weather Predictions
11 Solving Equations
11.1 Properties of Real Numbers11.2 Simplifying Expressions11.3 Addition and Subtraction Properties of Equality11.4 Multiplication and Division Properties of Equality11.5 Solving Equations with Multiple Steps PRE: Equations versus Expressions11.6 Applications and Problem Solving Group Activity: Deciphering a Coded Message
Additional Topics Appendix
A.1 Energy and PowerA.2 Scientific NotationA.3 Rectangular Coordinate System